Dmitriy Melkonian

Dmitriy Melkonian
The University of Sydney

PhD (electrical engineering), DSc (biophysics)

About

42
Publications
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451
Citations

Publications

Publications (42)
Article
Full-text available
The probabilistic formalism of quantum mechanics is used to quantitatively link the electroencephalogram (EEG) with the underlying microscale activity of cortical neurons. Previous approaches applied methods of classic physics to reconstruct the EEG in terms of explicit physical models of cortical neurons and the volume conductor. However, the mult...
Article
Full-text available
Probabilistic formalism of quantum mechanics is used to quantitatively link the global scale mass potential with the underlying electrical activity of excitable cells. Previous approaches implemented methods of classical physics to reconstruct the mass potential in terms of explicit physical models of participating cells and the volume conductor. H...
Article
Full-text available
Objective Stress, pain, injury, and psychological trauma all induce arousal-mediated changes in brain network organization. The associated, high level of arousal may disrupt motor-sensory processing and result in aberrant patterns of motor function, including functional neurological symptoms. We used the auditory oddball paradigm to assess cortical...
Article
Full-text available
The paper presents the development of a new biophysical and computational basis for understanding the non-linear mechanisms of the electrocardiogram (ECG) generation. The ECG is a global scale mass potential which arises from coordinated electrical activity of cardiomyocytes. The multiplicity of cellular processes with extremely intricate mixtures...
Article
Full-text available
Eyeblink electromyogram (EMG) is a noninvasive and reliable tool for evaluating information processing at different levels of the central nervous system.The recently developed method of fragmentary decompositioncreates the model of a single trial eyeblink EMG as the series of consecutive, partly overlapping components, with the generic mass potenti...
Article
Full-text available
Abstract: Eyeblink electromyogram (EMG) is a noninvasive and reliable tool for evaluating information processing at different levels of the central nervous system.The recently developed method of fragmentary decomposition creates the model of a single trial eyeblink EMG ast he series of consecutive, partly overlapping components, with the generic m...
Article
A novel method of the time-frequency analysis of non-stationary heart rate variability (HRV) is developed which introduces the fragmentary spectrum as a measure that brings together the frequency content, timing and duration of HRV segments. The fragmentary spectrum is calculated by the similar basis function algorithm. This numerical tool of the t...
Article
Full-text available
A theory is developed for describing the electrocardiogram (ECG) in terms of underlying cellular processes of ion transport. ECG evolvement over time is regarded as a sequence of partly overlapping self-similar transient potentials, with the generic mass potential (GMP) being the basic element. Using equations of the nonhomogeneous birth-and-death...
Article
Full-text available
To test the hypothesis that borderline personality disorder is a manifestation of a particularly right hemispheric disturbance, involving deficient higher order inhibition, and to consider the therapeutic implications of the findings. A cohort of 17 medication free borderline patients were compared with 17 age and sex matched controls by means of a...
Article
Full-text available
The methodological difficulties of estimating Fourier integrals using the fast Fourier transform (FFT) algorithm have intensified the interest in an alternative approach based on the Filon’s method of computing the trigonometric integrals. Following this approach, we introduce in this paper a similar basis function (SBF) algorithm that decomposes t...
Article
Full-text available
ECG frequency analysis is complicated by the fact that ECG signals are non-stationary, that is, their activity patterns change slowly or intermittently as a result of variations in a number of physiological and physical influences. Previous applications of spectral methods to the ECG analysis have identified power spectrum of the intervals between...
Article
Full-text available
A "vicious circle" hypothesis is put forward for the common kind of somatization which forms the basis of the DSM's "somatization disorder." Two compounding mechanisms are seen to be operative: (1) a failure of higher order inhibitory systems involved in the "medial pain system"; (2) amplification of stimulus intensity produced by the effect of att...
Article
Full-text available
A review of novel method of numerical Fourier transform spectroscopy of non-stationary signals and its applications to the time-frequency waveforms analysis of the electroencephalogram (EEG). The method uses the similar basis function (SBF) algorithm supported by classical methods of numerical estimation of trigonometric integrals based on the poly...
Article
Full-text available
The quantified analysis of the electroencephalogram (qEEG) has enabled the extraction of additional psychophysiological information from the raw EEG, but in turn has introduced a number of distortions. This study compared Dynamic Spectral Analysis (DSA), a novel and mathematically stringent technique for the evaluation of qEEG activity with convent...
Article
Full-text available
P3a and P3b event-related brain potentials to auditory stimuli were recorded for 17 unmedicated patients with borderline personality disorder, 17 matched healthy controls and 100 healthy control participants spanning five decades. Using high-resolution fragmentary decomposition for single-trial event-related potential analysis, distinctive disturba...
Article
Full-text available
It is now estimated that up to one-half of attention deficit hyperactivity disorder (ADHD) children continue to manifest symptoms in adulthood. A striking discrepancy between juvenile and adult populations is the increasing proportion of females with an ADHD diagnosis. To shed light on the psychophysiological mechanisms underlying adult ADHD, elect...
Article
Fragmentary decomposition (FD) is a recently developed method of non-stationary electrophysiological signal analysis addressed to mass potentials, such as electromyogram (EMG), event-related potential (ERP), evoked potential, electroencephalogram (EEG), electroretinogram, etc. Being supported by the generally accepted physiological notion that a pe...
Article
Full-text available
A recently developed method of fragmentary decomposition (FD) of nonstationary physiological signals was extended to eyeblink EMG measurement to quantify all significant stimulus-induced components and identify their parameters. FD provides a representation of single-trial eyeblink EMG as a nonstationary signal with the generic mass potential (GMP)...
Article
Full-text available
A recently developed fragmentary decomposition method is employed to analyse single-trial event-related potentials (ERPs), thereby extending the traditional method of averaging. Using a conventional auditory oddball paradigm with 40 target stimuli, single-trial ERPs in 40 normal subjects were analysed for midline scalp (Fz, Cz and Pz) recording sit...
Article
Full-text available
A nonstationary signal analysis technique is introduced, which regards an oscillatory physiological signal as a sum of its fragments, presented in the form of a fragmentary decomposition (FD). The virtue of FD is that it is free of the necessity to choose a priori the basis functions intended for signal analysis or synthesis. FD uses an unchanged s...
Article
This paper presents a new method for the identification of individual event related potential (ERP) components in both frequency and time domains. Using the similar basis function (SBF) algorithm the method provides a time to frequency transform, representing a frequency domain equivalent of the component waveform. Notable features of the SBF algor...
Article
To explain the discrepancy between estimates of parameters of quantal transmitter release received by different techniques the paper postulates a novel concept for quanta mobilization, which assumes that a quantum emitted by a vesicle transiently acquires a transition state in which it is immediately available for release. The working particle mode...
Article
Full-text available
Based on the vesicle hypothesis, the modes of elementary quantum-vesicle interactions have been formulated in terms of probabilities of induced and spontaneous interstate quanta transitions and generalized within the framework of the previously developed theory of the double barrier synapse. Among the three allowed states for a quantum, the transit...
Article
Via the parameter optimization method, well documented in the literature, data on the facilitated release of acetylcholine from the preganglionic nerve terminals during short trains of impulses have been quantitatively generalized within the framework of the previously developed theory of the double barrier synapse. This allowed unique transformati...
Article
The statistical dynamics of an impulse induced quanta turnover is studied by means of a nonstationary stochastic model — double barrier synapse — resulting from a previously developed mathematical theory of chemical synaptic transmission. An essential aspect of nonstationarities of the model is that the interpool quanta transfers follow binomial di...
Conference Paper
Microelectrode analysis of red nucleus (RN) neurons was used to study the regulatory influences on an axiosomatic input from a cerebellar nucleus interpositus and on an axodendritic input from a sensorimotor area of a cortex. To bring together these experimental data and previous theoretical results on detector properties of RN neurons, an improved...
Article
Presynaptic mechanisms of post-activation changes of synaptic efficacy have been quantitatively reconstructed via computer simulations with the previously suggested double-barrier quantal model of a chemical synapse. Successful in predicting the global changes in synaptic efficacy during and after short trains of presynaptic impulses, computer reco...
Article
Full-text available
As an extension of the particle concept in the quantitative descriptive of an entire neurotransmitter population, which participates in quanta release from the terminal, an improved system of quantal postulates is suggested. An essential aspect of the corresponding double barrier quantal model is its nonstationarity, resulting from combined applica...
Article
Mathematical theory of chemical synaptic transmission is suggested in which the modes of operation of chemical synapses are given as consequencies of some fundamental theoretical principles presented in the form of systems of quantum and macroscopic postulates. These postulates establish transmitter transfer rules between 3 component parts — cytopl...
Article
In 20 cats anaesthetized with pentobarbital the suprasylvian gyrus was stimulated by single stimuli or by trains of 50 s stimuli and the potentials from the cortical surface and the intracellular potentials from glial and nerve cells were recorded. Glial cells were identified according to conventional electrophysiological criteria: the absence of a...
Article
Experiments on anesthetized cats showed that a negative shift of potential on the surface of the cerebral cortex caused by its tetanic stimulation is similar in shape and time course to the depolarization shift of membrane potential of the glial cells, but has a more rapid decline. The hyperpolarization shifts of membrane potential of neurons diffe...
Article
It is shown in experiments on anesthetized cats that negative shift of the cortical surface potential evoked by its tetanic stimulation is similar in form and time course to the depolarization of glial cells. On the contrary, hyperpolarizing shifts of neuronal membrane potential are dissimilar in form and time course to the negative shift of the co...
Article
Slow negative potential of a direct cortical response is similar in configuration, time-course and reaction to repeated stimuli to depolarization of the cortical glial cells and differs from IPSP of the cortical neurons. According to data of digital spectral (frequency) analysis, slow negative potential is based on the glial component formed by sum...
Article
Full-text available
A dynamic model of learning that is based on the specific neuronal system of the cerebellum, including some of its structural-functional peculiarities, is proposed. It allows to simulate modification processes of the parallel fiber synapse that influences the Purkinje cell. regularities of synaptic modifications are obtained by extrapolating well-k...
Article
The slow negative potential of the direct cortical response is similar in its shape, time course, and relationship to repetitive stimulation to depolarization of cortical glial cells but differs from the IPSP of cortical neurons. According to the results of digital spectral (frequency) analysis, the basis of the slow negative potential is the glial...
Chapter
ERG and VER recordings were carried out in patients suffering from a so-called periodic disease (periodic fever, paroxismal peritonitis, cyclic neutropenia, intermittent arthralgia etc.). Electrodiagnostic findings were normal in cases with normal eye functions, irrespective of the presence of eyeground changes. Neuro-uveitis and neuro-retinopathy...
Article
A mathematical model of some brain mechanisms of elaboration or afferent information is proposed presented by multilayered neural network with distributed parameters. The performance of the elaborated model contributes to significant reduction of redundancy of afferent information during its passage from lower levels of network to higher ones.
Article
Full-text available
A mathematical model of synaptic transmission is proposed for treating its frequency characteristics. Several results of machine modelling are given which show good quantitative coincidence of theoretical and experimental data.
Article
It is shown that within certain frequency and illumination ranges, the light stimulus and the resulting potential are related by a function that can be described by a linear stationary operator, which is derived from an experimentally-determined APFC function.

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